How can I make a shader or change the scene lighting to make glass less reflective?
I think the basic node organization for glass is a mix between Glass and Transparency. The more your mix will tend to Transparency (Mix Shader value) the less it will be reflective. The Glass Roughness will make the glass more polished.

You can mix that with a Glossy Shader with a Layer Weight as factor if you want to add reflectivity on the normals for more realism, and same thing, play with the Layer Weight value.